Question

I need help solving this ​

Answer 1

Area = 374.1 sq. in.

Explanation:

A trick to solve this would be to know the area of a hexagon formula and plug the known information.

First, of all, if we count the number of sides, we see that we have 6 sides.

6 sided polygon is a HEXAGON, which has area formula of:

`A=(3√(3) )/(2) a^2`

Where

a is the side length

Given, the side length is 12 inches ( a= 12), we simply substitute into formula and find area of hexagon shown:

`A=(3√(3) )/(2) a^2\\A=(3√(3) )/(2) (12)^2\\A=(3√(3) )/(2)(144)\\A = 374.12`

Rounded to nearest tenth (1 decimal place)

Area = 374.1 sq. in.